155434204800 has 480 divisors, whose sum is σ = 655534962720. Its totient is φ = 35527403520.

The previous prime is 155434204787. The next prime is 155434204873. The reversal of 155434204800 is 8402434551.

It is a happy number.

155434204800 is a `hidden beast` number, since 1 + 554 + 3 + 4 + 20 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1771567 + ... + 1857233.

It is an arithmetic number, because the mean of its divisors is an integer number (1365697839).

Almost surely, 2^155434204800 is an apocalyptic number.

155434204800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155434204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327767481360).

155434204800 is an abundant number, since it is smaller than the sum of its proper divisors (500100757920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155434204800 is an equidigital number, since it uses as much as digits as its factorization.

155434204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85710 (or 85684 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 155434204800 in words is "one hundred fifty-five billion, four hundred thirty-four million, two hundred four thousand, eight hundred".